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Carl has an empty 35.0-liter tank that he wants to fill with 18.3 moles of oxygen gas. The gas in the tank will have a temperature of 25°C. If the air surrounding the tank is at standard pressure, what will be the gauge pressure of the oxygen in the tank in atmospheres?

Sagot :

The gauge pressure of the oxygen in the tank in atmospheres is 11.46 atm.

What is gauge pressure?

The gauge pressure is given as the pressure relative to the ambient atmospheric pressure. The gauge pressure can be calculated as:

Gauge pressure = System pressure - Atmospheric pressure

The system pressure of the 35-liter tank with 18.3 moles oxygen is given as:

Pressure = moles * Rydberg constant * Temperature / Volume

Pressure = 18.3 moles * 0.08 L.atm.mol⁻¹.K⁻¹ * 298 K / 35 L

Pressure = 12.46 atm

The standard pressure is given as 1 atm.

Thus, the gauge pressure of the oxygen in the tank can be:

Gauge pressure = System pressure - Atmospheric pressure

Gauge pressure = 12.46 atm - 1 atm

Gauge pressure = 11.46 atm

The gauge pressure of the oxygen in the tank in atmospheres is 11.46 atm.

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